• Biomedical Engineering, Semester 2, position 2

To introduce students to the application of fundamental principles and laws of biomechanics of tissues and organs in order to understand and study them. Establishment of appropriate biomechanical model of tissue and organs using modern theory of viscoelasticity, the possibility of simulations based on them in order to confirm the experimental data, the possibility of applying for the purposes of design and design basis of the same. It allows the potential cooperation with experts in medicine or work in specialized clinical institutions.

•Applying basic principles and laws linear theory of elasticity (LTE), the basics of continuum mechanics to understand and study the biomechanical properties and characteristics of human tissues and organs (HTO) • Identify the most important rheological properties of considered HTO • Distinguish between (Kelvin-Voigt, Maxwell model, Standard linear solid (SLS) model) on the basis of the linear theory of viscoelasticity (LTV) • Forming the appropriate rheological models HTO applying LTE in time and frequency domain • Numerical simulate the previously formed rheological models using programming environment (MATLAB, etc.). • Identify the properties and characteristics of non-linear and plastic behavior considered HTO

Introduction to the biomechanics of tissues /organs. Introduction to continuum mechanics, transport phenomena, the basics of biofluids. Basic assumptions of linear theory of elasticity (LTE). Modeling based on the theory LTE. Biomechanical properties of blood vessels: the arterial system, venous sistem. Vascular anatomy, ventricular geometry and hemodynamics. Dynamics of biomechanical heart model. Biomechanics of the lungs. Biomechanics of the nervous and lymphatic tissue. The dynamic behavior of biological tissues / organs: the relaxation of stress, creep, hysteresis. Introduction to the theory of viscoelasticity (TV): Kelvin-Voigt and Maxwell model. Basic assumptions of the theory of nonlinear elasticity - the finite elastic deformation. Nonlinear dynamic behavior of tissues / organs. Elements of cell rheology. Tolerance of tissue / organ to impact loads. Injury of the organ / tissue - the biomechanical modeling them. Biomechanical engineering to prevent tissue trauma. Biomechanical aspects of the growth of tissues / organs. Engineering tissues and organs. History and perspectives of future development of artificial tissue/organ

Introductory examples of tensor analysis. Biomechanical properties of hard tissues such as tooth-and bone man. Biomechanical properties of soft connective tissues-such as muscle, the muscle fibers. Biological-tissue modeling using LTE. Examples: elastin, collagen, cartilage-props. Modeling the behavior of biological tissue using LTVE: for example lung tissue, blood vessels. Biomechanical models of the respiratory, nervous and lymphatic systems. Structure and function of pulmonary parenhina. Examples of dynamic behavior of biological tissues / organs: the stress relaxation, creep, hysteresis. The case of the dynamic behavior of the diaphragm. An illustrative example of the final elastic deformation. Examples povrde organs / tissues: head and spinal cord-biomechanical models of the same. Tolerance of organs / tissues to impact operećenja. The growth of tissues and organs - such as bones. Examples of artificial models of tissues /organs (body parts).

desirable courses: Fundamentals of biomedical engineering, Human anatomy and physiology, Biomechanics of the human locomotor system

[1]Y. C.Fung,Biomechanics:Mechanical Properties of Living Tissues, Springer Science & Business Media, 2013. [2]Писани изводи са предавања (handouts), [3]М.Лазаревић, Биомеханика ткива и органа,(скрипта у припреми),2022 [4]Joseph D.Bronzino,«Tissue Engineering and Artificial Organs (The Biomedical Engineering Handbook),CRC Press,2006. [5]D.Schneck,J.Bronzino,Biomechanics principles and applications,CRC Press, New York,2003. [6]National Instruments-LABVIEW,(ЦСП) [7]WWWinternetlaboratorije,MATLAB,

Total assigned hours: 45

New material: 8
Elaboration and examples (recapitulation): 10

Auditory exercises: 6
Laboratory exercises: 3
Calculation tasks: 5
Seminar paper: 0
Project: 4
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 2
Review and grading of lab reports: 0
Review and grading of seminar papers: 1
Review and grading of the project: 0
Test: 2
Test: 1
Final exam: 3

Activity during lectures: 10
Test/test: 45
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 15
Final exam: 30
Requirement for taking the exam (required number of points): 35

S. Cowin, S. B.Doty,Tissue Mechanics, Springer Science+Business Media, LLC,2007; Ed. Joseph D. Bronzino,The Biomedical Engineering HandBook, Second Edition. Boca Raton: CRC Press LLC, 2000; M,Lai,D.Rubin,E.Crempl, Introduction to Continuum Mechanics,2010, Elsevier; H.A. Barnes,J.E Hutton,K. Walters F. R. S, An Introduction to rheologyI,Elsevier Amsterdam ,1993; C. Oomens, M. Brekelmans, F. Baaijens,Biomechanics: Concepts and Computation,Cambridge University Press,,2009